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[helm.git] / matita / tests / TPTP / Veloci / LDA001-1.p.ma

diff --git a/matita/tests/TPTP/Veloci/LDA001-1.p.ma b/matita/tests/TPTP/Veloci/LDA001-1.p.ma
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+++ b/matita/tests/TPTP/Veloci/LDA001-1.p.ma
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+
+include "logic/equality.ma".
+(* Inclusion of: LDA001-1.p *)
+(* -------------------------------------------------------------------------- *)
+(*  File     : LDA001-1 : TPTP v3.1.1. Released v1.0.0. *)
+(*  Domain   : LD-Algebras *)
+(*  Problem  : Verify 3*2*U = UUU, where U = 2*2 *)
+(*  Version  : [Jec93] (equality) axioms. *)
+(*  English  :  *)
+(*  Refs     : [Jec93] Jech (1993), LD-Algebras *)
+(*  Source   : [Jec93] *)
+(*  Names    : Problem 1 [Jec93] *)
+(*  Status   : Unsatisfiable *)
+(*  Rating   : 0.00 v2.2.1, 0.22 v2.2.0, 0.29 v2.1.0, 0.25 v2.0.0 *)
+(*  Syntax   : Number of clauses     :    5 (   0 non-Horn;   5 unit;   4 RR) *)
+(*             Number of atoms       :    5 (   5 equality) *)
+(*             Maximal clause size   :    1 (   1 average) *)
+(*             Number of predicates  :    1 (   0 propositional; 2-2 arity) *)
+(*             Number of functors    :    5 (   4 constant; 0-2 arity) *)
+(*             Number of variables   :    3 (   0 singleton) *)
+(*             Maximal term depth    :    3 (   2 average) *)
+(*  Comments :  *)
+(* -------------------------------------------------------------------------- *)
+(* ----A1: x(yz)=xy(xz)  *)
+(* ----3*2*U = U*U*U  *)
+theorem prove_equation:
+ \forall Univ:Set.
+\forall f:\forall _:Univ.\forall _:Univ.Univ.
+\forall n1:Univ.
+\forall n2:Univ.
+\forall n3:Univ.
+\forall u:Univ.
+\forall H0:eq Univ u (f n2 n2).
+\forall H1:eq Univ n3 (f n2 n1).
+\forall H2:eq Univ n2 (f n1 n1).
+\forall H3:\forall X:Univ.\forall Y:Univ.\forall Z:Univ.eq Univ (f X (f Y Z)) (f (f X Y) (f X Z)).eq Univ (f (f n3 n2) u) (f (f u u) u)
+.
+intros.
+autobatch paramodulation timeout=100;
+try assumption.
+print proofterm.
+qed.
+(* -------------------------------------------------------------------------- *)